When I read this topic, I assumed parting had more to do with handedness than gender.
But I searched a bit online, came across a site that seems, well, sketchy, but talks about all the things that hair parting theoretically tells about you.
Then I saw a Men's Health page where they said, "if the spiral moves counter-clockwise, the part should be on your right side and vice versa."
So go with the direction of your hair.
The alternative is to believe in a random website that's probably about as accurate as phrenology. Which, even if they're right, has nothing in particular to do with how people will gender you. Your hair part won't make a difference.